On the Range of the Radon Transform on Z n and the Related Volberg's Uncertainty Principle

Ahmed Abouelaz, Abdallah Ihsane, Takeshi Kawazoe

研究成果: Article査読

抄録

We characterize the image of exponential type functions under the discrete Radon transform R on the lattice Z n of the Euclidean space R n n ≥ 2. We also establish the generalization of Volberg's uncertainty principle on Z n, which is proved by means of this characterization. The techniques of which we make use essentially in this paper are those of the Diophantine integral geometry as well as the Fourier analysis.

本文言語English
論文番号375017
ジャーナルJournal of Mathematics
2015
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • 数学 (全般)

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